This paper studies robust control problems under the setting of quantized feedback. We consider both the static and dynamic logarithmic quantizers. In the static quantization case, the quantizer has an infinite number of levels, and the design problem is to find the minimal quantization density required to achieve a given control objective. In the dynamic quantization case, the problem is to minimize the number of quantization levels to achieve a given control objective. We present a number of results for different controller-quantizer configurations. These results are developed using the so-called sector bound approach for quantized feedback control, which was initiated by the authors previously for systems without uncertainties.

Relation

International Journal of Robust and Nonlinear Control Vol. 20, Issue 8, p. 843-857